PPT-Improved Approximation for the Directed Spanner Problem

Grigory Yaroslavtsev Penn State ATampT Labs Research intern Joint work with Berman PSU Bhattacharyya MIT Makarychev IBM Raskhodnikova PSU Directed Spanner Problem. *. *. But were afraid to ask. Seth Pettie. University of Michigan,. Ann Arbor. What is a spanner?. Spanner (English) : wrench. Spanner (German) : voyeur, peeping tom.. Spanner (CS) : sparse . subgraph. 1. Tsvi. . Kopelowitz. Knapsack. Given: a set S of n objects with weights and values, and a weight bound:. w. 1. , w. 2. , …, w. n. , B (weights, weight bound).. v. 1. , v. 2. , …, v. n. (values - profit).. Sometimes we can handle NP problems with polynomial time algorithms which are guaranteed to return a solution within some specific bound of the optimal solution. within a constant . c. . of the optimal. Spanner of Directed Graphs. Kyomin. Jung. KAIST. 2009 . Combinatorics. Workshop. Joint work with . A. rnab. Bhattacharyya . MIT. . Elena . Grigorescu. . MIT. . . Algorithms. and Networks 2015/2016. Hans L. . Bodlaender. Johan M. M. van Rooij. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. A. A. What to do if a problem is. L. inear Time Algorithm for Computing a . -Spanner of . Size in Weighted Graphs.  . Surender. . Baswana. and Sandeep Sen. Slides and Presentation By: . Nadav. Hollander. So, what exactly is a. -spanner. James C. Corbett et al . OSDI 2012. Presenter: Akshay Ravichandran. Outline. What is Spanner?. Why Spanner?. Implementation. External Consistency. Concurrency Control. Evaluation. Related Work. Future Work. Julia Chuzhoy. Toyota Technological Institute at Chicago. Routing Problems. Input. : Graph G, source-sink pairs (s. 1. ,t. 1. ),…,(. s. k. ,t. k. ).. Goal. : Route as many pairs as possible; minimize edge congestion.. Grigory. . Yaroslavtsev. . Penn State + AT&T Labs - Research (intern). Joint work with . Berman (PSU). , . Bhattacharyya (MIT). , . Makarychev. (IBM). , . Raskhodnikova. (PSU). Directed. Spanner Problem. Stochastic . Optimization. Anupam Gupta. Carnegie Mellon University. IPCO Summer . School. Approximation . Algorithms for. Multi-Stage Stochastic Optimization. {vertex cover, . S. teiner tree, MSTs}. System. David F. Bacon et al. . Google, Inc. . Presenter: Che-Lin Huang. Overview. Motivation. Introduction to Spanner. Distributed . Query. Query Range . Extraction. Query . Restart. Common SQL . Dialect. La gamme de thé MORPHEE vise toute générations recherchant le sommeil paisible tant désiré et non procuré par tout types de médicaments. Essentiellement composé de feuille de morphine, ce thé vous assurera d’un rétablissement digne d’un voyage sur . . SYFTET. Göteborgs universitet ska skapa en modern, lättanvänd och . effektiv webbmiljö med fokus på användarnas förväntningar.. 1. ETT UNIVERSITET – EN GEMENSAM WEBB. Innehåll som är intressant för de prioriterade målgrupperna samlas på ett ställe till exempel:. C. Zannini. Indirect space charge wake function.  .  . A. nalytical . solution of the Fourier transform . does . not . exist. Fourier . transform needs to be solved . numerically. A. pproximation .